Q: What are the prime factors of the number 324,320,136?

 A: 2, 3, 7, 1930477

Why are those the prime factors of the number 324,320,136?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 324,320,136

324,320,136
Factor Arrows
2162,160,068
Factor Arrows
281,080,034
Factor Arrows
240,540,017
Factor Arrows
313,513,339
Factor Arrows
71,930,477

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7, 1930477

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 1,930,477 = 324,320,136

This can also be written as 23 x 31 x 71 x 1,930,4771 = 324,320,136

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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